DETERMINATION OF PARAMETERS AND CHARACTERISTICS OF THE MATHEMATICAL MODEL OF THE PROCESS OF GRAIN RAW STUFF CRUSHING 

Chkalova Marina Viktorovna, candidate of technical sciences, associate professor, sub-department of informatics and applied mathematics, Institute for Risk Management and Integrated Security, Orenburg State Agrarian University, E-mail: chkalovamv@mail.ru
Pavlidis Victoria Dmitryevna, candidate of physical and mathematical sciences, professor, sub-department of informatics and applied mathematics, Institute for Risk Management and Integrated Security, Orenburg State Agrarian University, E-mail: pavlidis@mail.ru
Kapustina Oksana Alexandrovna, candidate of technical sciences, associate professor, sub-department of automated information processing and management systems, Institute for Risk Management and Integrated Security, Orenburg State Agrarian University,
E-mail: onica1@yandex.ru 

51-74 

Background. The purpose of the research was to obtain the parameters, characterizing the granulometric composition of the air-product layer (APL) and to deter-mine definite numerical expressions of correlation functions and spectral densities, exactly describing the behavior of the APL in the working chamber of the crusher.
Materials and methods. The analysis and verification of the grain raw stuff crushing model was carried out using the author's methods for determining the magnitude of the impact pulse of various particles. The experimental data obtained were processed on the patented laboratory instal-lation "centrifugal-impact mill".
Results. As result of studies conducted the authors have established the principles of the above model parameters changing, which make it possible to control the APL and regulate the homogeneity of the output product.
Conclusions. As a result of research, it is reliably established that the magnitude of the shock pulse is a parame-ter of the model that uniquely characterizes the dispersed composition; the numerical values of the transfer functions of dynamical systems under study are determined; the mathematical model of grinding of grain raw materials is verified. 

crushing, air-product layer, impact pulse magnitude, ganulometric composition, correlation function, transfer function, dynamic system